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Finding the Fourth Proportional to 293,046, 404,403.48 and 158,910

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Solution

The fourth proportional to 293,046, 404,403.48 and 158,910 is: 219,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,046 : 404,403.48 = 158,910 : x
  2. Step 2: Convert to fraction form
    293,046/404,403.48 = 158,910/x
  3. Step 3: Cross multiply
    293,046x = 404,403.48 × 158,910
  4. Step 4: Simplify right side
    293,046x = 64,263,757,006.80
  5. Step 5: Solve for x
    x = 64,263,757,006.80/293,046
  6. Step 6: Final answer
    x = 219,295.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.